We calculate the yield of projectile-like fragments in intermediate and high energy heavy-ion reactions using an abrasion-ablation model. We use the distribution of holes left by the abraded nucleons to estimate the primary-fragment excitation energies and calculate the statistical emission using this energy distribution. Our results agree well with the experimental data for the reaction $^{16}\mathrm{O}$${+}^{208}$Pb at 20 MeV/nucleon and 2 GeV/nucleon.